Prosecutors did not paint a pretty picture of Ingrid Rivera's last moments before she was left for dead on the roof of a Manhattan club during Lil' Kim's bday party -- her throat was slit and her head was bashed with a pipe.

At the arraignment for Sayed Rahman, the DA said that Rivera died from "blunt impact trauma" to the head and that "incised wounds to the neck" cut her carotid artery. He's been charged with second degree murder, and will be in custody until his next court hearing August 13.

We're told five members of Rahman's family were there in court, crying profusely.